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Finding the Fourth Proportional to 10,226.70, 15,318.45 and 8,498.70

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Solution

The fourth proportional to 10,226.70, 15,318.45 and 8,498.70 is: 12,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.70 : 15,318.45 = 8,498.70 : x
  2. Step 2: Convert to fraction form
    10,226.70/15,318.45 = 8,498.70/x
  3. Step 3: Cross multiply
    10,226.70x = 15,318.45 × 8,498.70
  4. Step 4: Simplify right side
    10,226.70x = 130,186,911.02
  5. Step 5: Solve for x
    x = 130,186,911.02/10,226.70
  6. Step 6: Final answer
    x = 12,730.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.